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arXiv 1206.4599cs.LGstat.ML
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一种统一的鲁棒分类模型

A Unified Robust Classification Model

Keio University(庆应义塾大学);Nagoya University(名古屋大学)

Akiko Takeda, Hiroyuki Mitsugi, Takafumi Kanamori

摘要:

对于二进制分类,存在各种各样的机器学习算法,诸如支持向量机(SVM)、极小极大概率机(MPM)和Fisher判别分析(FDA)。本文的目的是提供一个统一的分类模型,包括上述模型,通过一个强大的优化方法。这种统一的模式有几个好处。一个是SVM的扩展和改进适用于MPM和FDA,反之亦然。另一个好处是通过处理统一的模型,一次性地为上述学习方法提供理论结果。我们给出了统一分类模型的统计解释,并提出了一个非凸优化算法,可应用于现有的学习方法的非凸变量。

英文摘要:

A wide variety of machine learning algorithms such as support vector machine (SVM), minimax probability machine (MPM), and Fisher discriminant analysis (FDA), exist for binary classification. The purpose of this paper is to provide a unified classification model that includes the above models through a robust optimization approach. This unified model has several benefits. One is that the extensions and improvements intended for SVM become applicable to MPM and FDA, and vice versa. Another benefit is to provide theoretical results to above learning methods at once by dealing with the unified model. We give a statistical interpretation of the unified classification model and propose a non-convex optimization algorithm that can be applied to non-convex variants of existing learning methods.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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